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A003094 Number of unlabeled connected planar simple graphs with n nodes.
(Formerly M1652)
20
1, 1, 1, 2, 6, 20, 99, 646, 5974, 71885, 1052805, 17449299, 313372298 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Inverse Euler transform of A005470. - Christian G. Bower, May 16 2003

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

R. J. Wilson, Introduction to Graph Theory. Academic Press, NY, 1972, p. 162.

LINKS

David Wasserman and Brendan McKay, Table of n, a(n) for n = 0..12

E. Friedman, Illustration of small graphs

N. J. A. Sloane, Transforms

Peter Steinbach, Field Guide to Simple Graphs, Volume 1, Part 17 (For Volumes 1, 2, 3, 4 of this book see A000088, A008406, A000055, A000664, respectively.)

Eric Weisstein's World of Mathematics, Planar Connected Graph

EXAMPLE

a(3) = 2 since the path o-o-o and the triangle are the two connected planar simple graphs on three nodes.

CROSSREFS

Cf. A005470, A126201.

Sequence in context: A020095 A026991 A049379 * A073964 A079457 A079455

Adjacent sequences:  A003091 A003092 A003093 * A003095 A003096 A003097

KEYWORD

nonn,nice,hard,more,core

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Brendan McKay

a(12) added by Brendan McKay, Dec 06 2014

STATUS

approved

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Last modified May 30 06:51 EDT 2017. Contains 287302 sequences.